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Dana Henson
Mathematics
10 April, 13:43
Simplify 4/3|3w-6|=16
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Ben Watson
10 April, 13:44
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w = 6 w=-2
Step-by-step explanation:
4/3|3w-6|=16
Multiply each side by 3/4 to isolate the absolute value
3/4 * 4/3|3w-6|=16*3/4
|3w-6|=12
An absolute value has 2 solutions, one positive and one negative
3w-6 = 12 3w-6 = - 12
Add 6 to each side
3w-6+6 = 12+6 3w-6+6=-12+6
3w = 18 3w = - 6
Divide by 3
3w/3 = 18/3 3w/3 = - 6/3
w = 6 w = - 2
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